85008532 has 36 divisors (see below), whose sum is σ = 174091680. Its totient is φ = 36213744.

The previous prime is 85008491. The next prime is 85008533. The reversal of 85008532 is 23580058.

It is a junction number, because it is equal to n+sod(n) for n = 85008494 and 85008503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85008533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33873 + ... + 36295.

It is an arithmetic number, because the mean of its divisors is an integer number (4835880).

Almost surely, 2^85008532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85008532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87045840).

85008532 is an abundant number, since it is smaller than the sum of its proper divisors (89083148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85008532 is a wasteful number, since it uses less digits than its factorization.

85008532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 85008532 is about 9220.0071583486. The cubic root of 85008532 is about 439.6976779984.

The spelling of 85008532 in words is "eighty-five million, eight thousand, five hundred thirty-two".